Automorphism Groups of 2-Groups of Coclass at Most 3

Abstract

It is proved that automorphism groups of all 2-groups of coclass 2 are 2-groups, except only three ones; for 2-groups of coclass 3, there are only 20 groups and exactly six infinite sequences of 2-groups whose automorphism groups are not 2-groups. © 2019, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.